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Finding the Fourth Proportional to 981.09, 1,471.97 and 364.86

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Solution

The fourth proportional to 981.09, 1,471.97 and 364.86 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.09 : 1,471.97 = 364.86 : x
  2. Step 2: Convert to fraction form
    981.09/1,471.97 = 364.86/x
  3. Step 3: Cross multiply
    981.09x = 1,471.97 × 364.86
  4. Step 4: Simplify right side
    981.09x = 537,063.89
  5. Step 5: Solve for x
    x = 537,063.89/981.09
  6. Step 6: Final answer
    x = 547.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.